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121022120100 = 22352767860143
BaseRepresentation
bin111000010110101111…
…0110000000010100100
3102120101020110200200110
41300231132300002210
53440323130320400
6131332524013020
711513020022250
oct1605536600244
9376336420613
10121022120100
1147363917082
121b556091170
13b548b9a96b
145c00db1260
153234aa5e50
hex1c2d7b00a4

121022120100 has 144 divisors (see below), whose sum is σ = 406153115648. Its totient is φ = 27249298560.

The previous prime is 121022120083. The next prime is 121022120117. The reversal of 121022120100 is 1021220121.

It is an interprime number because it is at equal distance from previous prime (121022120083) and next prime (121022120117).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 289372 + ... + 570771.

Almost surely, 2121022120100 is an apocalyptic number.

121022120100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

121022120100 is an abundant number, since it is smaller than the sum of its proper divisors (285130995548).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121022120100 is a wasteful number, since it uses less digits than its factorization.

121022120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860234 (or 860227 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 121022120100 its reverse (1021220121), we get a palindrome (122043340221).

It can be divided in two parts, 1210221 and 20100, that added together give a palindrome (1230321).

The spelling of 121022120100 in words is "one hundred twenty-one billion, twenty-two million, one hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 67 70 75 84 100 105 134 140 150 175 201 210 268 300 335 350 402 420 469 525 670 700 804 938 1005 1050 1340 1407 1675 1876 2010 2100 2345 2814 3350 4020 4690 5025 5628 6700 7035 9380 10050 11725 14070 20100 23450 28140 35175 46900 70350 140700 860143 1720286 2580429 3440572 4300715 5160858 6021001 8601430 10321716 12042002 12902145 17202860 18063003 21503575 24084004 25804290 30105005 36126006 43007150 51608580 57629581 60210010 64510725 72252012 86014300 90315015 115259162 120420020 129021450 150525025 172888743 180630030 230518324 258042900 288147905 301050050 345777486 361260060 403407067 451575075 576295810 602100100 691554972 806814134 864443715 903150150 1152591620 1210221201 1440739525 1613628268 1728887430 1806300300 2017035335 2420442402 2881479050 3457774860 4034070670 4322218575 4840884804 5762958100 6051106005 8068141340 8644437150 10085176675 12102212010 17288874300 20170353350 24204424020 30255530025 40340706700 60511060050 121022120100